Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Regular icosahedron
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
=== Bibliographies === {{refbegin|30em}} * {{cite book | last = Barnes | first = John | year = 2012 | title = Gems of Geometry | edition = 2nd | url = https://books.google.com/books?id=7YCUBUd-4BQC | publisher = Springer | doi = 10.1007/978-3-642-30964-9 | isbn = 978-3-642-30964-9 }} * {{cite book | last1 = Benz | first1 = Klaus-Werner | last2 = Neumann | first2 = Wolfgang | year = 2014 | title = Introduction to Crystal Growth and Characterization | publisher = Wiley | isbn = 978-3-527-31840-7 }} * {{cite journal | last = Berman | first = Martin | doi = 10.1016/0016-0032(71)90071-8 | journal = Journal of the Franklin Institute | mr = 290245 | pages = 329–352 | title = Regular-faced convex polyhedra | volume = 291 | year = 1971| issue = 5 }} * {{cite book | last = Bickle | first = Allan | year = 2020 | title = Fundamentals of Graph Theory | url = https://books.google.com/books?id=2sbVDwAAQBAJ | publisher = [[American Mathematical Society]] | isbn = 978-1-4704-5549-1 }} * {{cite book | last1 = Brigaglia | first1 = Aldo | last2 = Palladino | first2 = Nicla | last3 = Vaccaro | first3 = Maria Alessandra | year = 2018 | editor1-last = Emmer | editor1-first = Michele | editor2-last = Abate | editor2-first = Marco | contribution = Historical notes on star geometry in mathematics, art and nature | doi = 10.1007/978-3-319-93949-0_17 | pages = 197–211 | publisher = Springer International Publishing | title = Imagine Math 6: Between Culture and Mathematics | isbn = 978-3-319-93948-3 }} * {{cite journal | last1 = Buker | first1 = W. E. | last2 = Eggleton | first2 = R. B. | title = The Platonic Solids (Solution to problem E2053) | journal = [[American Mathematical Monthly]] | volume = 76 | issue = 2 | year = 1969 | page = 192 | jstor = 2317282 | doi = 10.2307/2317282}} * {{cite book | last = Cann | first = Alan | year = 2012 | title = Principles of Molecular Virology | edition = 5th | url = https://books.google.com/books?id=mDbsN9LvE8gC | isbn = 978-0-12384939-7 | publisher = Academic Press }} * {{cite book | last1 = Chancey | first1 = C. C. | last2 = O'Brien | first2 = M. C. M. | year = 1997 | title = The Jahn-Teller Effect in C<sub>60</sub> and Other Icosahedral Complexes | url = https://books.google.com/books?id=wcQIEAAAQBAJ&pg=PA13 | page = 13 | publisher = [[Princeton University Press]] | isbn = 978-0-691-22534-0 }} *{{cite book | last1 = Chudnovsky | first1 = Maria | author1-link = Maria Chudnovsky | last2 = Seymour | first2 = Paul | author2-link = Paul Seymour (mathematician) | chapter= The structure of claw-free graphs | mr = 2187738 | pages = 153–171 | publisher = Cambridge University Press | series =London Mathematical Society Lecture Note Series (327) |editor=Bridget S. Webb | title = Surveys in combinatorics 2005 |chapter-url = http://www.math.princeton.edu/~mchudnov/claws_survey.pdf | year = 2005 |isbn=978-0-511-73488-5 }} * {{cite book | last = Coxeter | first = H. S. M. | author-link = Harold Scott MacDonald Coxeter | title = [[Regular Polytopes (book)|Regular Polytopes]] | edition = 3rd | year = 1973 | publisher = Dover Publications | isbn = 0-486-61480-8 | pages = 16–17 | contribution = 2.1 Regular polyhedra; 2.2 Reciprocation | contribution-url = https://books.google.com/books?id=iWvXsVInpgMC&pg=PA16 | mr = 0370327 }} * {{cite book | last1 = Coxeter | first1 = H.S.M. | author1-link = Harold Scott MacDonald Coxeter | author-mask1 = 3 | last2 = du Val | first2 = P. | author2-link = Patrick du Val | last3 = Flather | first3 = H. T. | last4 = Petrie | first4 = J. F. | author4-link = John Flinders Petrie | year = 1938 | title = [[The Fifty-Nine Icosahedra]] | publisher = University of Toronto Studies (Mathematical Series) | volume = 6 }} * {{cite book | last1 = Coxeter | first1 = H.S.M. | author-mask1 = 3 | last2 = du Val | first2 = P. | author-mask2 = 3 | last3 = Flather | first3 = H. T. | author-mask3 = 3 | last4 = Petrie | first4 = J. F. | author-mask4 = 3 | title = The Fifty-Nine Icosahedra | title-link = The Fifty-Nine Icosahedra | publisher = Tarquin | edition = 3rd | isbn = 978-1-899618-32-3 | mr = 676126 | year = 1999 | orig-date = 1938 }} * {{cite book | last = Cromwell | first = Peter R. | title = Polyhedra | year = 1997 | url = https://archive.org/details/polyhedra0000crom | publisher = [[Cambridge University Press]] | isbn = 978-0-521-55432-9 }} * {{cite journal | last = Cundy | first = H. Martyn | year = 1952 | title = Deltahedra | journal = The Mathematical Gazette | volume = 36 | issue = 318 | pages = 263–266 | doi = 10.2307/3608204 | jstor = 3608204 | s2cid = 250435684 }} * {{cite book | last1 = Dennis | first1 = L. | last2 = McNair | first2 = J. Brender | last3 = Woolf | first3 = N. J. | last4 = Kauffman | first4 = L. H. | year = 2018 | editor-last1 = McNair | editor-first1 = Jytte Brender | editor-last2 = Dennis | editor-first2 = Lynnclaire | editor-last3 = Kauffman | editor-first3 = Louis H. | title = Mereon Matrix, The: Everything Connected Through (K)nothing | chapter = The Context – Form Informing Function | chapter-url = https://books.google.com/books?id=4hVeDwAAQBAJ&pg=PA143 | publisher = [[World Scientific]] | isbn = 978-981-323-357-7 }} * {{cite book | last1 = Dronskowski | first1 = Richard | last2 = Kikkawa | first2 = Shinichi | last3 = Stein | first3 = Andreas | year = 2017 | title = Handbook of Solid State Chemistry, 6 Volume Set | publisher = John Sons & Wiley | url = https://books.google.com/books?id=e0VBDwAAQBAJ | isbn = 978-3-527-69103-6 }} * {{cite book | last = Erickson | first = Martin | year = 2011 | title = Beautiful Mathematics | publisher = [[Mathematical Association of America]] | url = https://books.google.com/books?id=LgeP62-ZxikC | isbn = 978-1-61444-509-8 }} * {{cite book | last1 = Fallat | first1 = Shaun M. | last2 = Hogben | first2 = Lesley | editor-last = Hogben | editor-first = Leslie | year = 2014 | title = Handbook of Linear Algebra | url = https://books.google.com/books?id=8hnYCwAAQBAJ | contribution = Minimum Rank, Maximum Nullity, and Zero Forcing Number of Graphs | contribution-url = https://books.google.com/books?id=8hnYCwAAQBAJ&pg=SA46 | publisher = CRC Press | isbn = 978-1-4665-0728-9 }} * {{cite book | last1 = Flanagan | first1 = Kieran | last2 = Gregory | first2 = Dan | year = 2015 | title = Selfish, Scared and Stupid: Stop Fighting Human Nature and Increase Your Performance, Engagement and Influence | publisher = [[John Wiley & Sons]] | url = https://books.google.com/books?id=hViuEAAAQBAJ | isbn = 978-0-7303-1279-6 }} * {{cite journal | last1 = Gallardo | first1 = J. | last2 = Pérez-Illana | first2 = M. | last3 = Martín-González | first3 = N. | last4 = San Martín | first4 = C. | title = Adenovirus Structure: What Is New? | journal = International Journal of Molecular Sciences | volume = 22 | issue = 10 | date = May 2021 | page = 5240 | pmid = 34063479 |pmc=8156859 | doi = 10.3390/ijms22105240 | doi-access = free }} * {{cite book | last = Gray | first = Hermann | year = 2018 | title = A History of Abstract Algebra: From Algebraic Equations to Modern Algebra | url = https://books.google.com/books?id=gl1oDwAAQBAJ | publisher = Springer | isbn = 978-3-319-94772-3 | doi = 10.1007/978-3-319-94772-3 | doi-broken-date = 14 March 2025 }} * {{cite book | last = Haeckel | first = E. | author-link = Ernst Haeckel | year = 1904 | title = [[Kunstformen der Natur]] | lang = de }} See [http://www.biolib.de/haeckel/kunstformen/index.html here] for an online book. * {{cite book | last1 = Herrmann | first1 = Diane L. | last2 = Sally | first2 = Paul J. | year = 2013 | title = Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory | publisher = CRC Press | isbn = 978-1-4665-5464-1 | url = https://books.google.com/books?id=b2fjR81h6yEC }} * {{cite book | last = Heath | first = Thomas L. | author-link = Thomas Little Heath | year = 1908 | title = The Thirteen Books of Euclid's Elements | edition = 3rd | publisher = [[Cambridge University Press]] | url = https://archive.org/details/thirteenbookseu03heibgoog/page/480 }} * {{cite book | last = Herz-Fischler | first = Roger | title = A Mathematical History of the Golden Number | publisher = Courier Dover Publications | year = 2013 | isbn = 978-0-486-15232-5 | url = https://books.google.com/books?id=aYjXZJwLARQC }} * {{cite journal | last = Hofmeister | first = H. | year = 2004 | title = Fivefold Twinned Nanoparticles | journal = Encyclopedia of Nanoscience and Nanotechnology | volume = 3 | pages = 431–452 }} * {{cite journal | last = Hopkins | first = Brian | year = 2004 | title = Hamiltonian paths on Platonic graphs | journal = [[International Journal of Mathematics and Mathematical Sciences]] | volume = 2004 | issue = 30 | pages = 1613–1616 | doi = 10.1155/S0161171204307118 | doi-access = free }} * {{cite journal | last = Inchbald | first = Guy | year = 2006 | title = Facetting Diagrams | journal = [[The Mathematical Gazette]] | volume = 90 | issue = 518 | pages = 253–261 | doi = 10.1017/S0025557200179653 | jstor = 40378613 }} * {{cite journal | last = Johnson | first = Norman W. | author-link = Norman Johnson (mathematician) | doi = 10.4153/cjm-1966-021-8 | journal = [[Canadian Journal of Mathematics]] | mr = 0185507 | pages = 169–200 | title = Convex polyhedra with regular faces | volume = 18 | year = 1966 | zbl = 0132.14603 }} * {{cite journal | last = Gallian | first = Joseph A. | author-link = Joseph Gallian | journal = Electronic Journal of Combinatorics | mr = 1668059 | page = Dynamic Survey 6, 43 pp. (389 pp. in 18th ed.) (electronic) | title = A dynamic survey of graph labeling | url = http://www.combinatorics.org/ojs/index.php/eljc/article/viewFile/DS6/pdf | volume = 5 | year = 1998 }} * {{cite book | last = Kappraff | first = Jay | year = 1991 | edition = 2nd | title = Connections: The Geometric Bridge Between Art and Science | publisher = [[World Scientific]] | isbn = 978-981-281-139-4 }} * {{cite journal | last = Kotschick | first = Dieter | date = 2006 | title = The Topology and Combinatorics of Soccer Balls | url = https://www.americanscientist.org/article/the-topology-and-combinatorics-of-soccer-balls | journal = [[American Scientist]] | volume = 94 | issue = 4 | page = 350 | doi = 10.1511/2006.60.350 }} * {{cite book | last = Klein | first = Felix | author-link = Felix Klein | title = Lectures on the ikosahedron and the solution of equations of the fifth degree | year = 1888 | publisher = Courier Corporation | url = http://digital.library.cornell.edu/cgi/t/text/text-idx?c=math;cc=math;view=toc;subview=short;idno=03070001 | isbn = 978-0-486-49528-6 | postscript =,}} Dover edition, translated from {{cite book |last =Klein |first =Felix |title =Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade |url =https://archive.org/details/vorlesungenberd00kleigoog |publisher =Teubner |year =1884 }} * {{cite book | last = Livio | first = Mario | author-link = Mario Livio | title = The Golden Ratio: The Story of Phi, the World's Most Astonishing Number | url = https://books.google.com/books?id=bUARfgWRH14C | orig-date = 2002 | edition = 1st trade paperback | year = 2003 | publisher = [[Random House|Broadway Books]] | location = New York City | isbn = 978-0-7679-0816-0 }} * {{cite book | last = MacLean | first = Kenneth J. M. | year = 2007 | title = A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra | publisher = Loving Healing Press | isbn = 978-1-932690-99-6 }} * {{cite journal | last = Minas-Nerpel | first = Martina | year = 2007 | title = A Demotic Inscribed Icosahedron from Dakhleh Oasis | journal = The Journal of Egyptian Archaeology | volume = 93 | issue = 1 | pages = 137–148 | jstor = 40345834 | doi = 10.1177/030751330709300107 }} * {{cite book | last = Pugh | first = Anthony | year = 1976a | title = Polyhedra: A Visual Approach | url = https://books.google.com/books?id=IDDxpYQTR7kC | publisher = University of California Press | isbn = 978-0-520-03056-5 }} * {{cite book | last = Pugh | first = Anthony | author-mask = 3 | isbn = 978-0-520-03055-8 | publisher = University of California Press | title = An Introduction to Tensegrity | url = https://books.google.com/books?id=McEOfJu3NQAC | year = 1976b }} * {{cite book | last = Rotman | first = Joseph | year = 1998 | title = Galois Theory | series = Universitext | url = https://books.google.com/books?id=0kHhBwAAQBAJ | publisher = Springer | edition = 2nd | isbn = 978-1-4612-0617-0 | doi = 10.1007/978-1-4612-0617-0 }} * {{cite book | last = Shavinina | first = Larisa V. | year = 2013 | title = The Routledge International Handbook of Innovation Education | publisher = Routledge | isbn = 978-0-203-38714-6 }} * {{cite book | last = Seidel | first = J. J. | editor-last1 = Corneil | editor-first1 = D. G. | editor-last2 = Mathon | editor-first2 = R. | year = 1991 | title = Geometry and Combinatorics | url = https://books.google.com/books?id=brziBQAAQBAJ | publisher = Academic Press | isbn = 978-1-4832-6800-2 }} * {{cite book | last = Senechal | first = Marjorie | year = 1989 | contribution = A Brief Introduction to Tilings | contribution-url = https://books.google.com/books?id=OToVjZW9CKMC | editor-last = Jarić | editor-first = Marko | title = Introduction to the Mathematics of Quasicrystals | publisher = [[Academic Press]] | page = 12 }} * {{cite book | last = Silvester | first = John R. | year = 2001 | title = Geometry: Ancient and Modern | publisher = Oxford University Publisher }} * {{cite book | last = Simmons | first = George F. | title = Calculus Gems: Brief Lives and Memorable Mathematics | publisher = Mathematical Association of America | year = 2007 | isbn = 978-0-88385-561-4 }} * {{cite book | last = Smith | first = David E. | year = 1958 | title = History of Mathematics | volume = 2 | publisher = Dover Publications | isbn = 0-486-20430-8 | url = https://books.google.com/books?id=uTytJGnTf1kC }} * {{cite journal | last = Spokoyny | first = A. M. | author-link = Alexander M. Spokoyny | year = 2013 | title = New Ligand Platforms Featuring Boron-Rich Clusters as Organomimetic Sbstituents | journal = Pure and Applied Chemistry | volume = 85 | issue = 5 | pages = 903–919 | doi = 10.1351/PAC-CON-13-01-13 | pmc = 3845684 | pmid=24311823 }} * {{cite book | last = Stillwell | first = John | editor-last1 = Axler | editor-first1 = S. | editor-last2 = Ribet | editor-first2 = K. A. | year = 2005 | title = The Four Pillars of Geometry | series = Undergraduate Texts in Mathematics | contribution = Transformations | contribution-url = https://books.google.com/books?id=I1QPQic_PxwC | publisher = Springer | doi = 10.1007/0-387-29052-4 | isbn = 978-0-387-29052-2 }} * {{cite book | last1 = Strauss | first1 = James H. | last2 = Strauss | first2 = Ellen G. | title = Viruses and Human Disease | chapter = The Structure of Viruses | publisher = Elsevier | year = 2008 | pages = 35–62 | doi = 10.1016/b978-0-12-373741-0.50005-2 | pmc = 7173534 | isbn = 978-0-12-373741-0 | s2cid = 80803624 }} * {{cite book | last = Sutton | first = Daud | title = Platonic & Archimedean Solids | series = Wooden Books | publisher = Bloomsbury Publishing USA | year = 2002 | isbn = 978-0-8027-1386-5 | url = https://books.google.com/books?id=vgo7bTxDmIsC }} * {{cite book | last1 = Steeb | first1 = Willi-hans | last2 = Hardy | first2 = Yorick | last3 = Tanski | first3 = Igor | title = Problems And Solutions For Groups, Lie Groups, Lie Algebras With Applications | date = 2012 | publisher = World Scientific Publishing Company | isbn = 978-981-310-411-2 | url = https://books.google.com/books?id=UdI7DQAAQBAJ | language = en }} * {{cite conference | last = Tsuruta | first = Naoya | year = 2024 | editor-last = Takenouchi | editor-first = Kazuki | title = ICGG 2024 - Proceedings of the 21st International Conference on Geometry and Graphics | series = Lecture Notes on Data Engineering and Communications Technologies | contribution = Polyhedral Realization as Deltahedra Using Subgroup Isomorphism Test | contribution-url = https://books.google.com/books?id=kLckEQAAQBAJ&pg=PA108 | volume = 1 | publisher = Springer | isbn = 978-3-031-71225-8 | doi = 10.1007/978-3-031-71225-8 }} * {{cite journal | last = Verheyen | first = H. F. | doi = 10.1016/0898-1221(89)90160-0 | doi-access = | issue = 1–3 | journal = [[Computers and Mathematics with Applications]] | mr = 0994201 | pages = 203–250 | title = The complete set of Jitterbug transformers and the analysis of their motion | volume = 17 | year = 1989 }} * {{cite book | last1 = Walter | first1 = Steurer | last2 = Deloudi | first2 = Sofia | year = 2009 | title = Crystallography of Quasicrystals: Concepts, Methods and Structures | series = Springer Series in Materials Science | volume = 126 | url = https://books.google.com/books?id=nVx-tu596twC&pg=PA50 | page = 50 | isbn = 978-3-642-01898-5 | doi = 10.1007/978-3-642-01899-2 }} * {{cite book | last = Wells | first = David | location = London | page = 161 | publisher = Penguin | title = The Penguin Dictionary of Curious and Interesting Geometry | year = 1991 }} * {{cite book | last = Wenninger | first = Magnus J. | year = 1971 | title = Polyhedron Models | publisher = [[Cambridge University Press]] }} * {{cite journal | last = Whyte | first = L. L. | doi = 10.1080/00029890.1952.11988207 | journal = [[The American Mathematical Monthly]] | jstor = 2306764 | mr = 50303 | pages = 606–611 | title = Unique arrangements of points on a sphere | volume = 59 | year = 1952| issue = 9 }} {{refend}}
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Regular icosahedron
(section)
Add topic